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Help with the question please!!! EXTRA POINTS

Help with the question please!!! EXTRA POINTS-example-1

1 Answer

4 votes

Answer:

21

108

Explanation:

The diagonals of a rectangle are congruent and bisect each other.

EG = FH

5x - 8 = 4x + 2

x = 10

EI = (1/2)EG

EI = (1/2)(5x - 8)

EI = (1/2)(42)

EI = 21

m<IGF = 36

m<IFG = m<IGH = 36

m<IFG + m<IGH + m<FIG = 180

36 + 36 + m<IGH = 180

m<IGH = 108

m<EIH = m<IGH (vertical angles)

m<EIH = 108

User Mike Putnam
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